Compact star models in class I spacetime
Abstract In the present article, we have presented completely new exact, finite and regular class I solutions of Einstein’s field equations i.e. the solutions satisfy the Karmarkar condition. For this purpose needfully we have introduced a completely new suitable $$g_{rr}$$ grr metric potential to g...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7035-6 |
| _version_ | 1818306411449286656 |
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| author | Nayan Sarkar Ksh. Newton Singh Susmita Sarkar Farook Rahaman |
| author_facet | Nayan Sarkar Ksh. Newton Singh Susmita Sarkar Farook Rahaman |
| author_sort | Nayan Sarkar |
| collection | DOAJ |
| description | Abstract In the present article, we have presented completely new exact, finite and regular class I solutions of Einstein’s field equations i.e. the solutions satisfy the Karmarkar condition. For this purpose needfully we have introduced a completely new suitable $$g_{rr}$$ grr metric potential to generate the model. We have investigated the various physical aspects for our model such as energy density, pressure, anisotropy, energy conditions, equilibrium, stability, mass, surface and gravitational red-shifts, compactness parameter and their graphical representations. All these physical aspects have ensured that our proposed solutions are well-behaved and hence represent physically acceptable models for anisotropic fluid spheres. The models have satisfied causality and energy conditions. The presented models are also stable by satisfying Bondi condition and Abreu et al. condition, in equilibrium position and static by satisfying TOV equation, Harrison–Zeldovich–Novikov condition, respectively. For the parameters chosen in the paper are matching in modeling Vela X-1, Cen X-3, EXO 1785-248 and LMC X-4. The M–R graph generated from the solutions is matching the ranges of masses and radii for the considered compact stars. This work also estimated the approximate moment of inertia for the mentioned compact stars. |
| first_indexed | 2024-12-13T06:42:03Z |
| format | Article |
| id | doaj.art-05038d83035748c1a169ed7cbedc12e4 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T06:42:03Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-05038d83035748c1a169ed7cbedc12e42022-12-21T23:56:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-06-0179611310.1140/epjc/s10052-019-7035-6Compact star models in class I spacetimeNayan Sarkar0Ksh. Newton Singh1Susmita Sarkar2Farook Rahaman3Department of Mathematics, Jadavpur UniversityFaculty Council of Science, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract In the present article, we have presented completely new exact, finite and regular class I solutions of Einstein’s field equations i.e. the solutions satisfy the Karmarkar condition. For this purpose needfully we have introduced a completely new suitable $$g_{rr}$$ grr metric potential to generate the model. We have investigated the various physical aspects for our model such as energy density, pressure, anisotropy, energy conditions, equilibrium, stability, mass, surface and gravitational red-shifts, compactness parameter and their graphical representations. All these physical aspects have ensured that our proposed solutions are well-behaved and hence represent physically acceptable models for anisotropic fluid spheres. The models have satisfied causality and energy conditions. The presented models are also stable by satisfying Bondi condition and Abreu et al. condition, in equilibrium position and static by satisfying TOV equation, Harrison–Zeldovich–Novikov condition, respectively. For the parameters chosen in the paper are matching in modeling Vela X-1, Cen X-3, EXO 1785-248 and LMC X-4. The M–R graph generated from the solutions is matching the ranges of masses and radii for the considered compact stars. This work also estimated the approximate moment of inertia for the mentioned compact stars.http://link.springer.com/article/10.1140/epjc/s10052-019-7035-6 |
| spellingShingle | Nayan Sarkar Ksh. Newton Singh Susmita Sarkar Farook Rahaman Compact star models in class I spacetime European Physical Journal C: Particles and Fields |
| title | Compact star models in class I spacetime |
| title_full | Compact star models in class I spacetime |
| title_fullStr | Compact star models in class I spacetime |
| title_full_unstemmed | Compact star models in class I spacetime |
| title_short | Compact star models in class I spacetime |
| title_sort | compact star models in class i spacetime |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7035-6 |
| work_keys_str_mv | AT nayansarkar compactstarmodelsinclassispacetime AT kshnewtonsingh compactstarmodelsinclassispacetime AT susmitasarkar compactstarmodelsinclassispacetime AT farookrahaman compactstarmodelsinclassispacetime |